## Introduction to Estimation

From our previous knowledge we are now able to distinguish between a population and a sample, a parameter and statistic,… Click here to read more

From basic to higher mathematics

From our previous knowledge we are now able to distinguish between a population and a sample, a parameter and statistic,… Click here to read more

In the point estimation procedure we make an attempt to compute a numerical value from sample observations, which could be… Click here to read more

The maximum likelihood estimation method is a very rigorous statistical method of estimation. The word likelihood has the same meaning… Click here to read more

This is probably the most important property that a good estimator should possess. According to this property, if the statistic… Click here to read more

Among a number of estimators of the same class, the estimator having the least variance is called an efficient estimator…. Click here to read more

An estimator $$\widehat \alpha $$ is said to be a consistent estimator of the parameter $$\widehat \alpha $$ if it… Click here to read more

From the discussion on point estimation we know that $$\overline X $$ is the best possible estimator of the population… Click here to read more

From central limit theorem we know that \[Z = \frac{{\overline X – \mu }}{{\frac{\sigma }{{\sqrt n }}}}\] is a standard… Click here to read more

As long as $${\sigma ^2}$$ is known, the confidence interval estimate of a population mean can be obtained by the… Click here to read more

(1) Large Samples The difference between two means is of considerable importance in testing the homogeneity of populations. In this… Click here to read more

The variance of a population can be estimated using the chi-square variate, as explained in previous tutorials. Unlike the $$t$$… Click here to read more

The term standard error has already been introduced very briefly in previous tutorials while discussing the sampling distribution of means…. Click here to read more

The term probable error is seen only in older statistics literature where it used to denote the product of the… Click here to read more